A crystal has a coefficient of expansion 13 × 10-7 in one direction and 231 × 10-7 in every direction at right angles to it. Then the cubical coefficient of expansion is

Question

A crystal has a coefficient of expansion 13 × 10-7 in one direction and 231 × 10-7 in every direction at right angles to it. Then the cubical coefficient of expansion is (A) 462 × 10-7 (B) 244 × 10-7 (C) 475 × 10-7 (D) 257 × 10-7

Tardigrade Admin · Accepted Answer

&gamma; =α1+α2+α3 =13 × 10-7+231 × 10-7+231 × 10-7 =475 × 10-7

Q. A crystal has a coefficient of expansion $13 \times 1 0^{- 7}$ in one direction and $231 \times 1 0^{- 7}$ in every direction at right angles to it. Then the cubical coefficient of expansion is

$462 \times 1 0^{- 7}$

$244 \times 1 0^{- 7}$

$475 \times 1 0^{- 7}$

$257 \times 1 0^{- 7}$

$γ = α_{1} + α_{2} + α_{3}$
$= 13 \times 1 0^{- 7} + 231 \times 1 0^{- 7} + 231 \times 1 0^{- 7}$
$= 475 \times 1 0^{- 7}$

Q. A crystal has a coefficient of expansion 13×10−7 in one direction and 231×10−7 in every direction at right angles to it. Then the cubical coefficient of expansion is

462×10−7

244×10−7

475×10−7

257×10−7